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Finding the Fourth Proportional to 470,498.42, 705,350.90 and 204,058.26

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Solution

The fourth proportional to 470,498.42, 705,350.90 and 204,058.26 is: 305,915.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,498.42 : 705,350.90 = 204,058.26 : x
  2. Step 2: Convert to fraction form
    470,498.42/705,350.90 = 204,058.26/x
  3. Step 3: Cross multiply
    470,498.42x = 705,350.90 × 204,058.26
  4. Step 4: Simplify right side
    470,498.42x = 143,932,676,323.14
  5. Step 5: Solve for x
    x = 143,932,676,323.14/470,498.42
  6. Step 6: Final answer
    x = 305,915.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.